Answer:
Distance between two points = √37
Step-by-step explanation:
Given:
(-2,-1)
(-3,5)
Find:
Distance between two points
Computation:
Distance = √(x1 -x2)² + (y1 - y2)²
Distance between two points = √(-2+3)² + (-1 - 5)²
Distance between two points = √ 1 + 36
Distance between two points = √37
1) Tan45 = 1
2) Sin70 = 0.9397
3) Cos30 = 0.8660
4) Cos20 = 0.9397
The answer is the second one
If you want a fast explanation
You have to remember that the minus sign indicates which direction the hyperbole will follow, if the minus is on x, that indicates the hyperbole will be vertical, and if the minus is in y, then it'll be horizontal
If you check the vertices points those indicates the length of 2a thus thatll be 6
To get the center just use middle point equation and you'll get (1,3)
Just to know, a indicates the distance from the center to the vertices, b indicates how wide the hyperbole box is, and c indicates the distance from center to focis
A=3
B=?
C=6
We use Pythagoras so

Thus you get

With that data now you can get the equation
You know that below (y-3)^2 there should be a^2 so that means there will be the 9
And in the (x-1)^2 there should be b^2 so that means there will be the 27
PD. The 3 besides y, and 1 besides x represent the center
Answer:
d). 3/5.
Step-by-step explanation:
The greatest common factor of 18 and 30 is 6, so we divide top and bottom of the fraction by 6:
18/30
= (18/6) / (30/6)
= 3/5.
Perpendicular means it’s opposite reciprocals for example : the slope is 2 then the perpendicular line’s slope would be -1/2 because it flips the number also makes it the opposite sign.
If it’s parallel then the slope would be the same
I hope that helps